The speaker discusses an innovative approach to planning and organizing tasks using a 'plotbox planner,' inspired by fiction writer Victoria Crowder's method of organizing plot points. This system involves using a physical box with tabs for different categories such as resolutions, hours of the day, days of the week, and months of the year. The speaker explains how this planner helps in organizing New Year's resolutions and daily tasks by allowing easy access and review of goals and plans. The planner is divided into sections for resolutions, hourly tasks, weekly plans, and monthly recurring events, with the flexibility to use cards or sticky notes for planning. The speaker emphasizes that this is an experimental system aimed at improving efficiency and reducing the time spent on planning, with the ultimate goal of achieving resolutions by the end of 2025.